A straight road connects points A and B. Car 1 travels from A to B and Car 2 travels from B to A, both leaving at the same time. After meeting each other, they take 45 minutes and 20 minutes, respectively, to complete their journeys. If Car 1 travels at the speed of 60 km/hr, then the speed of Car 2, in km/hr, is
Correct Answer :
90
Solution :
Let the speed of Car 1 be and the speed of Car 2 be .
Let the time taken by Car 1 after meeting to reach B be .
Let the time taken by Car 2 after meeting to reach A be .
We know the standard relation for two bodies starting at the same time from two points and traveling towards each other:
Substituting the given values:
Simplify the fraction inside the square root:
So,
Solving for :
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